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Finding the Fourth Proportional to 24,943.29, 37,403.93 and 9,349.98

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Solution

The fourth proportional to 24,943.29, 37,403.93 and 9,349.98 is: 14,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,943.29 : 37,403.93 = 9,349.98 : x
  2. Step 2: Convert to fraction form
    24,943.29/37,403.93 = 9,349.98/x
  3. Step 3: Cross multiply
    24,943.29x = 37,403.93 × 9,349.98
  4. Step 4: Simplify right side
    24,943.29x = 349,725,950.67
  5. Step 5: Solve for x
    x = 349,725,950.67/24,943.29
  6. Step 6: Final answer
    x = 14,020.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.